A basketball player’s hang time in the time spent in the air when shooting a basket. The formula t= Models hang time, t, in seconds, in terms of the vertical distance of a player’s jump, d, in feet. When a particular player dunked a basketball, his hang time for the shot was approximately 1.08 seconds. What was the vertical distance, d, of his jump, rounded to the nearest tenth?

m∠a is 90°

m∠b is 40°

1 and 0

step-by-step explanation:

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: